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Finding the Third Proportional to 39,414 and 60,275

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Solution

The third proportional to 39,414 and 60,275 is: 92,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414 : 60,275 = 60,275 : x
  2. Step 2: Convert to fraction form
    39,414/60,275 = 60,275/x
  3. Step 3: Cross multiply
    39,414x = 60,275 × 60,275
  4. Step 4: Simplify right side
    39,414x = 3,633,075,625
  5. Step 5: Solve for x
    x = 3,633,075,625/39,414
  6. Step 6: Final answer
    x = 92,177.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.